346631463040 has 64 divisors (see below), whose sum is σ = 851062273560. Its totient is φ = 134905208832.

The previous prime is 346631462993. The next prime is 346631463043. The reversal of 346631463040 is 40364136643.

It can be written as a sum of positive squares in 4 ways, for example, as 274768865856 + 71862597184 = 524184^2 + 268072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 346631462984 and 346631463002.

It is not an unprimeable number, because it can be changed into a prime (346631463043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295397 + ... + 7342756.

Almost surely, 2^346631463040 is an apocalyptic number.

It is an amenable number.

346631463040 is an abundant number, since it is smaller than the sum of its proper divisors (504430810520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346631463040 is a wasteful number, since it uses less digits than its factorization.

346631463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14638209 (or 14638197 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

Adding to 346631463040 its reverse (40364136643), we get a palindrome (386995599683).

The spelling of 346631463040 in words is "three hundred forty-six billion, six hundred thirty-one million, four hundred sixty-three thousand, forty".